"We're always looking to evolve the squad, to improve the group," he told reporters in Norway. "We still have some business to do to bring in a few more players. By the end of August I hope that we will have a squad that will be ready to compete and challenge for the top four.

"We need one or two players to cover positions where we're a little bit short, and also probably looking to bring in maybe one or two in the attacking areas. We'll see how that goes.

"We did very well in the early part of the window, when we got four players in - which I'm extremely happy about. If we can add a few more that would be really good for us."

The Gunners recently made a £40 million offer for Suarez plus an additional £1 in order to trigger an apparent release clause, but Rodgers maintains the club will not sell the striker despite Arsenal’s best efforts.

"I'll tell you what I've been saying all summer and what I said most of last season," the 40-year-old continued. "He's an incredible player, Luis Suarez. On the field he is a fighter, he wants to win and he showed that last season.

"We have no intention of selling one of the top players in the world to one of our rivals. The message is very clear: Luis Suarez is very much a Liverpool player.

"There's not even really a discussion point, unless someone comes within anywhere near the valuation of Luis. At this present time, that's not the case."

The Reds finished seventh last season and failed to qualify for Europe altogether, but Rodgers is confident that his side can mount a serious challenge for the top four this term.

"Our main target is to progress from where we were last season," Rodgers added.

"The measure will always be Champions League for Liverpool, there's no disguising that. That will always be the case and I believe we have a really good chance of doing that."